RIMS International Project Research 2012

Discrete geometric analysis is a hybrid field of several traditional
disciplines;
say, graph theory, geometry, theory of discrete groups, and probability.
The terminology "Discrete Geometric Analysis" was invented by
Toshikazu Sunada. (See
the survey
by Sunada (Proc. of Symposia in Pure Math. 77, pp. 5186, AMS, 2008)
for his
original ideas of this field.)
The first international conference on this hybrid field was held at Sendai, Japan on December 1220, 2003, entitled "the First JAMS Symposium on Discrete Geometric Analysis". The proceedings of the conference is available from AMS Contemporary Math. series, vol 347.
In July 28  August 8, 2008, the first MSJSI organized by Math. Soc. of Japan entitled Probabilistic Approach to Geometry was held in Kyoto. The proceedings of the conference is available from MSJ Advanced Studies in Pure Math. Series, vol. 57.
Discrete Geometric Analysis has been extending and making new interactions in many fields.